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Finding the Fourth Proportional to 2,659.74, 3,655.02 and 2,537.78

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Solution

The fourth proportional to 2,659.74, 3,655.02 and 2,537.78 is: 3,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.74 : 3,655.02 = 2,537.78 : x
  2. Step 2: Convert to fraction form
    2,659.74/3,655.02 = 2,537.78/x
  3. Step 3: Cross multiply
    2,659.74x = 3,655.02 × 2,537.78
  4. Step 4: Simplify right side
    2,659.74x = 9,275,633.86
  5. Step 5: Solve for x
    x = 9,275,633.86/2,659.74
  6. Step 6: Final answer
    x = 3,487.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.